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All Journal Pendas : Jurnah Ilmiah Pendidikan Dasar Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Zahra Marsanda Mahisa
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Earth & Planetary Sciences Mathematics Other

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Aplikasi Integral dalam Menghitung Volume dan Panjang Busur pada Design Cone Es Krim Berbentuk Kelopak Bunga Asni Al Amini; Kenjo Oktaviano Damanik; Monica Triyuni Sinaga; Riby Tamara; Zahra Marsanda Mahisa; Suvriadi Panggabean
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 3 No. 3 (2025): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v3i3.480

Abstract

This study aims to apply integral calculus methods to calculate the volume and arc length of an ice cream cone design shaped like a flower petal. The cone design is modeled using a quadratic function derived from three reference points on the petal curve. Using the solid of revolution method around the y-axis, the calculated petal volume is 150.8 cm³, and the arc length is 7.14 cm. The results demonstrate that calculus-based modeling supports efficient material usage while enhancing aesthetic and functional aspects of packaging. This research highlights the connection between mathematical concepts and practical product design in the food industry
PENGEMBANGAN MODEL INTEGER LINIER PROGRAMMING PADA OPTIMASI PRODUKSI TAHU UMKM MENGGUNAKAN METODE BRANCH DAN BOUND DENGAN VALIDASI LINGO Nerli Khairani; Rina Intan Amelia; Bobby Putra Delon Togatorop; Zahra Marsanda Mahisa; Alya Dwi Lestari
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 11 No. 02 (2026): Volume 11 Nomor 02, Juni 2026 Published
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v11i02.50706

Abstract

Production optimization is an important strategy for Micro, Small, and Medium Enterprises (MSMEs) to maximize profits under limited resources. Previous studies on tofu production optimization using the simplex method generated fractional solutions, making them less applicable in real production systems. Therefore, this study aims to determine the optimal production solution for tofu MSMEs using Integer Linear Programming with the Branch and Bound method and compare the results with the simplex method from previous research. This study used secondary data on the production of two types of tofu, namely white tofu and magel tofu. The problem was solved manually using the Branch and Bound method and validated using LINGO software. The results showed that the optimal integer solution was achieved by producing 14 buckets of white tofu and 6 buckets of magel tofu, resulting in a maximum profit of IDR 1,990,000. Meanwhile, the simplex method produced a higher profit of IDR 2,176,146, but the solution did not satisfy integer constraints. Validation using LINGO showed consistent results with manual calculations. Thus, the Branch and Bound method provides a more realistic solution for tofu production optimization in MSMEs.
Co-Authors Alya Dwi Lestari Asni Al Amini Bobby Putra Delon Togatorop Kenjo Oktaviano Damanik Monica Triyuni Sinaga Nerli Khairani Riby Tamara Rina Intan Amelia Suvriadi Panggabean